There is no solution for global optimum search in Optimization Toolbox?
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John D'Errico on 16 Nov 2018
Essentially, yes, that is true.
You need to recognize however, that even the global optimization toolbox cannot provably solve ALL problems, since it is easy to pose an objective with infinitely many local minimizers, or one with a minimizer that is so narrow that no black box tool can find it. But the optimization toolbox has no tools in it that try to do more than find a locally optimum solution, as is true for any classical optimizer.